everything.study
16.230

Plates and Shells: Static and Dynamic Analysis

3-1-8 units · Graduate

See description under subject 2.081[J] .

Spring 2007 · Plates and Shells

This course explores the following topics: derivation of elastic and plastic stress-strain relations for plate and shell elements; the bending and buckling of rectangular plates; nonlinear geometric effects; post-buckling and ultimate strength of cold formed sections and typical stiffened panels used in naval architecture; the general theory of elastic shells and axisymmetric shells; buckling, crushing and bending strength of cylindrical shells with application to offshore structures; and the application to crashworthiness of vehicles and explosive and impact loading of structures. The class is taught during the first half of term.

Readings

  • Ugural, A. C. Stresses in Plates and Shells . 2nd ed. New York, NY: McGraw-Hill, 1998. ISBN: 0070657696.
    Listed reading
  • Shames, Irving H., and Clive L. Dym. Energy and Finite Element Methods in Structural Mechanics: SI Units. Raton, FL: CRC, 1996. ISBN: 0891169423.
    Listed reading
  • Timoshenko, Stephen P., and S. Woinowsky-Krieger. Theory of Plates and Shells . 2nd ed. New York, NY: McGraw-Hill Companies, 1959. ISBN: 0070647798.
    Listed reading
  • Part I: Plates and Shells ( PDF - 2.0 MB ) ↗
    Listed reading
  • Part II: Plastic Analysis of Plates and Shells ( PDF - 2.2 MB ) ↗
    Listed reading
  • Hill, R. Mathematical Theory of Plasticity . London, UK: Oxford University Press, 1950.
    Listed reading
  • Prager, W., and P. G. Hodge. Theory of Perfectly Plastic Solids . New York, NY: Wiley, 1951.
    Listed reading
  • Prager, W. Introduction to Plasticity . Reading, MA: Addison-Wesley, 1959.
    Listed reading
  • Olszak, W., L. Mroz, and P. Perzyna. Recent Trends in the Development of the Theory of Plasticity . New York, NY: Macmillan, 1963.
    Listed reading
  • Prager, W. Introduction to Plasticity . Reading, MA: Addison-Wesley, 1967.
    Listed reading
  • Calladine, C. Engineering Plasticity . Oxford, NY: Pergamon Press, 1969.
    Listed reading
  • Mroz, Z. Mathematical Models of Inelastic Material Behavior . Waterloo, ON: University of Waterloo Press, 1973.
    Listed reading
  • Kachanov, L. Fundamentals of the Theory of Plasticity . Moscow, Russia: Mir Publishers, 1974.
    Listed reading
  • Buy at MIT Press Martin, J. B. Plasticity: Fundamental and General Results . Cambridge, MA: MIT Press, 1975. ISBN: 9780262131148. ↗
    Listed reading
  • Zyczkowski, M. Combined Loadings in the Theory of Plasticity . Warsaw, Poland: PWN, Polish Scientific Publishers, 1981.
    Listed reading
  • Calladine, C. Plasticity for Engineers . E. Horwood, NY: Halsted Press, 1985.
    Listed reading
  • Lubliner, J. Plasticity Theory . New York, NY: MacMillan, 1990.
    Listed reading
  • Mroz, Z., and A. Sawczuk, eds. Proceedings of IUTAM Symposium on Optimization in Structural Design, Warsaw, Poland, 1973. Berlin, Germany: Springer-Verlag, 1975.
    Listed reading
  • Hodge, P. G. Plastic Analysis of Structures . New York, NY: McGraw-Hill, 1959.
    Listed reading
  • Jaeger, A., and A. Sawczuck. Load Carrying Capacity of Plates (in German) . Berlin, Germany: Springer, 1963.
    Listed reading
  • Hodge, P. G. Limit Analysis of Rotationally Symmetric Plates and Shells . Englewood Cliffs, NJ: Prentice-Hall, 1963.
    Listed reading
  • Olszak, W., and A. Sawczuk. Inelastic Behavior of Shells . Moscow, Russia: Mir Publishers, 1969.
    Listed reading
  • Massonet, C., W. Olszack, and A. Philips. Plasticity in Structural Engineering Fundamentals and Applications . New York, NY: Springer, 1979.
    Listed reading
  • Calladine, C. Theory of Shell Structures . Cambridge, UK: Cambridge University Press, 1983.
    Listed reading
  • Konig, A. Shakedown of Elastic-Plastic Structures . New York, NY: Elsevier, 1987.
    Listed reading
  • Kudo, H. “Study of Forging and Extrusion Processes.” In Koku Kenkya-sho Shu ko . Vol. I-IV. 1958-1959.
    Listed reading
  • Szczepinski, W. Introduction to the Mechanics of Plastic Forming of Metals . Alphen aan den Rijn, The Netherlands: Sijthoff & Noordhoff International Publishers, 1979.
    Listed reading
  • Johnson, W., and P. Mellor. Engineering Plasticity . Chichester, UK: Ellis Horwood, 1983.
    Listed reading
  • Goldsmith, W. Impact: The Theory and Physical Behavior of Colliding Solids . London, UK: Edward Arnold Pub. Ltd., 1960.
    Listed reading
  • Cristescu, N. Dynamic Plasticity . Amsterdam, The Netherlands: North-Holland, 1967.
    Listed reading
  • Johnson, W. Impact Strength of Materials . London, UK: Edward Arnold, 1972.
    Listed reading
  • Wierzbicki, T. Design of Plastic Structures to Dynamic Loads (in German) . 1981.
    Listed reading
  • Cristescu, C., and I. Suliciu. Viscoplasticity . New York, NY: Springer, 1982.
    Listed reading
  • McClintock, F. A. “Plasticity Aspects of Fracture.” In Fracture: An Advanced Treatise . Vol. 3. Edited by H. Liebowitz. New York, NY: Academic Press, 1971, pp. 47-225.
    Listed reading
  • Hutchinson, J. W. Nonlinear Fracture Mechanics . Copenhagen, Denmark: The Technical University of Denmark, 1979.
    Listed reading

Prerequisites & course information

Same subject as 2.081[J] Prereq: 2.071 , 2.080[J] , or permission of instructor G (Spring) 3-1-8 units

Sources